ディオファントス近似とモジュラー形式 - 2026/6/3の論文23本

arXiv math.NTの新着論文23本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-03/A Note on Diophantine Approximation with Restricted DenominatorsA Fibonacci theorem for Collatz trajectories via modular graph structureGeneralized polygonal number representationsExplicit generators of the space of modular formsOn the Schematic and Analytic Constructions of the Local Langlands CategoryOn the Argument of the Lerch, Chowla--Selberg Formula and CM Values of $\eta(\tau)$Diagonal Condition in Multiplication Table of $\displaystyle {\, \mathbb{Z} [i] / (\alpha) }$Planes in quadratic 4-space and associated shapes of latticesMajorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual CodesThe Fontaine operator at cusps of modular curves at infinite levelPair correlation of $\alpha n^{\theta}$ for random $\theta$A $q$-Analogue of a Supercongruence Related to Van Hamme's (B.2) SupercongruenceSome new results on determinants and permanentsA note on partitions in the image of pre$_2$On maximal Dynkin friezesA conjecture of Glasby, Praeger, and Unger on permutations of $S_n$On $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig VarietiesCassini's identity for k-bonacci numbersAn Iwasawa-type asymptotic formula for multiple $\mathbb{Z}_p$-coverings of graphsOn the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applicationsComplete Families of Curves in the Moduli Space of Genus g CurvesHalf of finite abelian groups are unit groupsThe Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory